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Finding the Fourth Proportional to 2,988.10, 4,481.78 and 908.02

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Solution

The fourth proportional to 2,988.10, 4,481.78 and 908.02 is: 1,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.10 : 4,481.78 = 908.02 : x
  2. Step 2: Convert to fraction form
    2,988.10/4,481.78 = 908.02/x
  3. Step 3: Cross multiply
    2,988.10x = 4,481.78 × 908.02
  4. Step 4: Simplify right side
    2,988.10x = 4,069,530.13
  5. Step 5: Solve for x
    x = 4,069,530.13/2,988.10
  6. Step 6: Final answer
    x = 1,361.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.